GuessExpBin(F, S, EXPRR, retract, coerce)

mantepse.spad line 494 [edit on github]

• F: Join(Field, PolynomialFactorizationExplicit)

• S: GcdDomain

• EXPRR: Join(FunctionSpace Integer, IntegralDomain, RetractableTo Symbol, RetractableTo Integer, CombinatorialOpsCategory, PartialDifferentialRing Symbol) with

  *: (%, %) -> %

  /: (%, %) -> %

  ^: (%, %) -> %

  denominator: % -> %

  ground?: % -> Boolean

  numerator: % -> %

• retract: EXPRR -> F

• coerce: F -> EXPRR

This package implements guessing GuessExpRat and GuessBinRat functions of guessing package.

guessBinRat: (List F, List GuessOption) -> List EXPRR

guessBinRat(l, options) tries to find a function of the form n+->binomial(a+b n, n) r(n), where r(n) is a rational function, that fits l.

guessBinRat: Symbol -> (List F, List GuessOption) -> List EXPRR if F has RetractableTo Symbol and S has RetractableTo Symbol

guessBinRat q returns a guesser that tries to find a function of the form n+->qbinomial(a+b n, n) r(n), where r(q^n) is a q-rational function, that fits l.

guessExpRat: (List F, List GuessOption) -> List EXPRR

guessExpRat(l, options) tries to find a function of the form n+->(a+b n)^n r(n), where r(n) is a rational function, that fits l.

guessExpRat: Symbol -> (List F, List GuessOption) -> List EXPRR if F has RetractableTo Symbol and S has RetractableTo Symbol

guessExpRat q returns a guesser that tries to find a function of the form n+->(a+b q^n)^n r(q^n), where r(q^n) is a q-rational function, that fits l.